Statistical Mechanics of Cosmological Systems Taking into Account Negative Temperatures

In the paper author considers a new method for constructing quasi-equilibrium thermodynamics of a system of gravitationally interacting particles with the modified (by including a cosmological term) Newton potential. Since the dynamics of each pair of particles changes fundamentally with increasing distance between them, The work uses a technique previously used for similar behavior of vortex structures by L. Onsager . In this case, the concept of negative temperature in the system associated with the definition of the kinetic temperature of A.A. Vlasov. We constructed the approximating expressions for the configuration integral and the full statistical sum of the canonical ensemble in the case of negative temperatures. A methodology for studying quasi-equilibrium manifolds in the system under study is proposed.